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44314400012004 = 223219925951238361
BaseRepresentation
bin10100001001101110000000…
…00100100011011011100100
312210220102012201201010212200
422010313000010203123210
521302021342400341004
6234125430533414500
712222416100052503
oct1204670004433344
9183812181633780
1044314400012004
11131356a4595101
124b78516a9a430
131b95aa3647855
14ad2b851dc83a
1551cabc681239
hex284dc01236e4

44314400012004 has 72 divisors (see below), whose sum is σ = 112584665356800. Its totient is φ = 14696610192000.

The previous prime is 44314400011961. The next prime is 44314400012101. The reversal of 44314400012004 is 40021000441344.

44314400012004 is a `hidden beast` number, since 4 + 43 + 14 + 400 + 0 + 1 + 200 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185793784 + ... + 186032144.

Almost surely, 244314400012004 is an apocalyptic number.

It is an amenable number.

44314400012004 is an abundant number, since it is smaller than the sum of its proper divisors (68270265344796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44314400012004 is a wasteful number, since it uses less digits than its factorization.

44314400012004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264521 (or 264516 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44314400012004 its reverse (40021000441344), we get a palindrome (84335400453348).

The spelling of 44314400012004 in words is "forty-four trillion, three hundred fourteen billion, four hundred million, twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 25951 51902 77853 103804 155706 233559 238361 311412 467118 476722 715083 934236 953444 1430166 2145249 2860332 4290498 5164249 8580996 10328498 15492747 20656996 30985494 46478241 47433839 61970988 92956482 94867678 142301517 185912964 189735356 284603034 426904551 569206068 853809102 1707618204 6185706311 12371412622 18557118933 24742825244 37114237866 55671356799 74228475732 111342713598 222685427196 1230955555889 2461911111778 3692866667667 4923822223556 7385733335334 11078600003001 14771466670668 22157200006002 44314400012004